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A1. (a) M Consider two events A and B. State a formula for lP(A U B) in terms of PM), 1P(B) and MA n B). (b) E\") The probability that Alice catches the bus is 0.3, the probability that Bob catches the bus is 0.4, the probability they both catch the bus is 0.1. Find the probability that i) at least one of Alice or Bob catch the bus ii) neither Alice nor Bob catch the bus. (c) M) Briefly explain how you can tell that Alice catching the bus and Bob catching the bus are not independent events